Chapter 19, Problem 36P

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5th Edition

Saeed Moaveni

ISBN: 9781305084766

Textbook Problem

For Problem 19.33, determine the probability (assuming normal distribution) that a bottle would be filled with more than 495 milliliters.

To determine

Calculate the probability for that a bottle would be filled with more than 495 milliliters.

Explanation

**Given data:**

The required values are shown in Table 1 with reference to the problem 19.33 in the textbook.

**Formula used:**

From equation 19.7 in the textbook, the formula to find mean for any sample is,

Here,

From equation 19.8 in the textbook, the formula to find standard deviation is,

The formula to find the z score is,

Here,

**Calculation:**

The calculation of terms in equation (1) is shown in Table 2

Here, the sum of the frequencies and the terms

The total number of water bottles is the sum of the frequency,

Substitute

The calculation of terms in equation (2) is shown in Table 3.

Sect-19.3 P-1BYGSect-19.3 P-2BYGSect-19.3 P-3BYGSect-19.3 P-BYGVSect-19.5 P-1BYGSect-19.5 P-2BYGSect-19.5 P-3BYGSect-19.5 P-4BYGSect-19.5 P-5BYGSect-19.5 P-BYGV

Ch-19 P-1PCh-19 P-2PCh-19 P-3PCh-19 P-4PCh-19 P-5PCh-19 P-6PCh-19 P-7PCh-19 P-8PCh-19 P-9PCh-19 P-12PCh-19 P-13PCh-19 P-14PCh-19 P-15PCh-19 P-16PCh-19 P-17PCh-19 P-18PCh-19 P-19PCh-19 P-20PCh-19 P-21PCh-19 P-22PCh-19 P-23PCh-19 P-24PCh-19 P-25PCh-19 P-26PCh-19 P-27PCh-19 P-28PCh-19 P-29PCh-19 P-30PCh-19 P-31PCh-19 P-32PCh-19 P-33PCh-19 P-34PCh-19 P-35PCh-19 P-36PCh-19 P-37PCh-19 P-38PCh-19 P-39PCh-19 P-40PCh-19 P-41PCh-19 P-42PCh-19 P-43PCh-19 P-44PCh-19 P-45PCh-19 P-46PCh-19 P-47PCh-19 P-48PCh-19 P-49PCh-19 P-50P

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